Discovering Mathematics with Magma

Preface.- Magma: the project.- About this volume.- How to read the Magma code?- W.Bosma: Some computational experiments in number theory.- C.Fieker: Applications of the class field theory of global fields.- N.Bruin: Some ternary Diophantine equations of signature (n,n,2).- W.Stein: Studying the Birch and Swinnerton-Dyer conjecture for modular abelian varieties using Magma.- P.B.van Wamelen: Computing with the analytic Jacobian of a genus 2 curve.- G.Brown: Graded rings and special K3 surfaces.- D.E.Taylor: Constructing the split octonions.- J.F.Carlson: Support varieties for modules.- J.F.Carlson: When is projectivity detected on subalgebras?- D.F.Holt: Cohomology and group extensions in Magma.- C.M.Roney-Dougal, W.R.Unger: Computing the primitive permuation groups of degree less than 1000.- V.Gebhardt: Computer aided discovery of a fast algorithm for testing conjugacy in braid groups.- M.Grassl: Searching for linear codes with large minimum distance.- P.Lieby: Colouring planar graphs.- G.Bailey: Appendix: The Magma Language.- Index